PLEASE PLEASE HELP 30 POINTS AND WILL GIVE BRAINIEST what is the measure of angle ABC
what is the measure of angle CBE
what is the measure of angle DBE
what is the measure of angle ABD ​

Please read down below, thanks

Step-by-step explanation:

Vertical angles are always equal.

Because the two expression we have are equal, we can make the equation:

4x + 2 = 5x - 13

Let's move x to one side and the constants to the other side.

Subtract both sides by 4x and add both sides by 13

15 = x

Now we know x = 15, we can solve for the angles.

∠ABC is 4x + 2 so: 4(15) + 2 = 47 degrees

∠CBE added up with ∠ABC is 180 degrees so: 180 - 47 = 133 degrees

∠DBE is the same as ∠ABC so: 47 degrees

∠ABD is also the same as ∠CBE so: 133 degrees